The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.
@article{bwmeta1.element.doi-10_1515_math-2015-0086,
author = {Maryam Khorshidi and Mehdi Nadjafikhah and Hossein Jafari},
title = {Fractional derivative generalization of Noether's theorem},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0086}
}
Maryam Khorshidi; Mehdi Nadjafikhah; Hossein Jafari. Fractional derivative generalization of Noether’s theorem. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0086/
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